Young's Modulus Calculator
Young's modulus (E) measures a material's stiffness, defined as the ratio of stress to strain in the elastic region: E = sigma/epsilon. A higher modulus means a stiffer material. This calculator computes Young's modulus and compares the result with common engineering materials.
Young's modulus (also called the elastic modulus or modulus of elasticity) is a fundamental material property that quantifies resistance to elastic deformation. It is defined as E = σ/ε, where σ is stress and ε is strain. The units are the same as stress (Pa, MPa, or GPa) since strain is dimensionless.
Common values span several orders of magnitude: rubber ≈ 0.01 GPa, wood ≈ 10 GPa, aluminum ≈ 69 GPa, steel ≈ 200 GPa, and diamond ≈ 1,050 GPa. Young's modulus applies only in the linear elastic region of the stress-strain curve: the portion where Hooke's law holds and deformation is fully reversible.
Engineers use Young's modulus to predict deflection, calculate natural frequencies of structures, and select materials for specific applications. For instance, bridge cables need high modulus steel to minimize sag, while car bumpers use lower-modulus polymers to absorb impact energy through deformation.